title: Weak-values technique for velocity measurements.
abstract: In a recent Letter, Brunner and Simon proposed an interferometric scheme using imaginary weak values with a frequency-domain analysis to outperform standard interferometry in longitudinal phase shifts [Phys. Rev. Lett105, 010405 (2010)]. Here we demonstrate an interferometric scheme combined with a time-domain analysis to measure longitudinal velocities. The technique employs the near-destructive interference of non-Fourier limited pulses, one Doppler shifted due to a moving mirror in a Michelson interferometer. We achieve a velocity measurement of 400 fm/s and show our estimator to be efficient by reaching its Cramér-Rao bound.
authors.forename: Gerardo I
authors.initials: GI
authors.lastname: Viza
authors.forename: Julián
authors.initials: J
authors.lastname: Martínez-Rincón
authors.forename: Gregory A
authors.initials: GA
authors.lastname: Howland
authors.forename: Hadas
authors.initials: H
authors.lastname: Frostig
authors.forename: Itay
authors.initials: I
authors.lastname: Shomroni
authors.forename: Barak
authors.initials: B
authors.lastname: Dayan
authors.forename: John C
authors.initials: JC
authors.lastname: Howell